On our paper `Almost Free Splitter', a correction
| dc.creator | Göbel, Rüdiger | |
| dc.creator | Shelah, Saharon | |
| dc.date | 2000-09-06 | |
| dc.date.accessioned | 2026-07-07T04:37:14Z | |
| dc.date.available | 2026-07-07T04:37:14Z | |
| dc.description | Let R be a subring of Q and recall from math.LO/9910161 that an R-module G is a splitter if Ext_R(G,G)=0. We correct the statement of Main Theorem 1.5 in math.LO/9910161. Assuming CH any aleph_1$-free splitter of cardinality aleph_1 is free over its nucleus as shown in math.LO/9910161. Generally these modules are very close to being free as explained below. This change follows from math.LO/9910161 and is due to an incomplete proof (noticed thanks to Paul Eklof) in the first section of math.LO/9910161. Assuming the negation of CH, in Shelah [Sh:F417] (work in progress) it will be shown that under Martin's axiom these splitters are free indeed. However there are models of set theory having non-free aleph_1-free splitter of cardinality aleph_1. | |
| dc.identifier | https://arxiv.org/abs/math/0009063 | |
| dc.identifier | http://arxiv.org/abs/math/0009063 | |
| dc.identifier | Colloq. Math. 88 No. 1 (2001) 155--158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59879 | |
| dc.subject | Logic | |
| dc.subject | Rings and Algebras | |
| dc.title | On our paper `Almost Free Splitter', a correction | |
| dc.type | text |